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Finding the Fourth Proportional to 313,063.92, 469,287 and 200,423.52

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Solution

The fourth proportional to 313,063.92, 469,287 and 200,423.52 is: 300,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,063.92 : 469,287 = 200,423.52 : x
  2. Step 2: Convert to fraction form
    313,063.92/469,287 = 200,423.52/x
  3. Step 3: Cross multiply
    313,063.92x = 469,287 × 200,423.52
  4. Step 4: Simplify right side
    313,063.92x = 94,056,152,430.24
  5. Step 5: Solve for x
    x = 94,056,152,430.24/313,063.92
  6. Step 6: Final answer
    x = 300,437.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.